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Finding the Fourth Proportional to 590,659.23, 813,394.33 and 513,099.30

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Solution

The fourth proportional to 590,659.23, 813,394.33 and 513,099.30 is: 706,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,659.23 : 813,394.33 = 513,099.30 : x
  2. Step 2: Convert to fraction form
    590,659.23/813,394.33 = 513,099.30/x
  3. Step 3: Cross multiply
    590,659.23x = 813,394.33 × 513,099.30
  4. Step 4: Simplify right side
    590,659.23x = 417,352,060,064.22
  5. Step 5: Solve for x
    x = 417,352,060,064.22/590,659.23
  6. Step 6: Final answer
    x = 706,586.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.